{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:JZPOHGYBVGGHLEPFWIZPHZVK7N","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"49378cba97bd6579ead9640ce9855693d1f790a0ae1c580d7c3ddea36835315b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2024-07-11T15:29:57Z","title_canon_sha256":"135a99249a74fc248520058f0373131348a3497fb6884fc7bf48ff8d3d35152e"},"schema_version":"1.0","source":{"id":"2407.08604","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.08604","created_at":"2026-07-05T08:42:50Z"},{"alias_kind":"arxiv_version","alias_value":"2407.08604v1","created_at":"2026-07-05T08:42:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.08604","created_at":"2026-07-05T08:42:50Z"},{"alias_kind":"pith_short_12","alias_value":"JZPOHGYBVGGH","created_at":"2026-07-05T08:42:50Z"},{"alias_kind":"pith_short_16","alias_value":"JZPOHGYBVGGHLEPF","created_at":"2026-07-05T08:42:50Z"},{"alias_kind":"pith_short_8","alias_value":"JZPOHGYB","created_at":"2026-07-05T08:42:50Z"}],"graph_snapshots":[{"event_id":"sha256:25276eafeaea802822a4dd46b135c6c9100ac8c277720fb7808eaadeb97de7a1","target":"graph","created_at":"2026-07-05T08:42:50Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2407.08604/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Pattern comparison represents a fundamental and crucial aspect of scientific modeling, artificial intelligence, and pattern recognition. Three main approaches have typically been applied for pattern comparison: (i) distances; (ii) statistical joint variation; (iii) projections; and (iv) similarity indices, each with their specific characteristics. In addition to arguing for intrinsic interesting properties of multiset-based similarity approaches, the present work describes a respectively based hierarchical agglomerative clustering approach which inherits the several interesting characteristics","authors_text":"Alexandre Benatti, Luciano da F. Costa","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2024-07-11T15:29:57Z","title":"Agglomerative Clustering in Uniform and Proportional Feature Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.08604","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b06dc4c968e5270274b27c44e9e22e2908dbde11b24986685ec4f7540fe0becf","target":"record","created_at":"2026-07-05T08:42:50Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"49378cba97bd6579ead9640ce9855693d1f790a0ae1c580d7c3ddea36835315b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2024-07-11T15:29:57Z","title_canon_sha256":"135a99249a74fc248520058f0373131348a3497fb6884fc7bf48ff8d3d35152e"},"schema_version":"1.0","source":{"id":"2407.08604","kind":"arxiv","version":1}},"canonical_sha256":"4e5ee39b01a98c7591e5b232f3e6aafb4f36214e026730c42910ee92d0c0873c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e5ee39b01a98c7591e5b232f3e6aafb4f36214e026730c42910ee92d0c0873c","first_computed_at":"2026-07-05T08:42:50.406566Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:42:50.406566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A5FkG7JSvqTcaDYUUyJml17QH93WI6gwKobRwAPKC62VlUS3JRVyVrcHcYAac6jlHDo9+5AocX+ISz1H711ACg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:42:50.406983Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.08604","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b06dc4c968e5270274b27c44e9e22e2908dbde11b24986685ec4f7540fe0becf","sha256:25276eafeaea802822a4dd46b135c6c9100ac8c277720fb7808eaadeb97de7a1"],"state_sha256":"ae743029db44e64548bc68fb914088b052f31bf935ed24eb3d815257a25efcb2"}